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Finding the Fourth Proportional to 381,586.74, 526,563.36 and 211,807.50

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Solution

The fourth proportional to 381,586.74, 526,563.36 and 211,807.50 is: 292,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,586.74 : 526,563.36 = 211,807.50 : x
  2. Step 2: Convert to fraction form
    381,586.74/526,563.36 = 211,807.50/x
  3. Step 3: Cross multiply
    381,586.74x = 526,563.36 × 211,807.50
  4. Step 4: Simplify right side
    381,586.74x = 111,530,068,873.20
  5. Step 5: Solve for x
    x = 111,530,068,873.20/381,586.74
  6. Step 6: Final answer
    x = 292,279.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.